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18974805696 = 26327112192389
BaseRepresentation
bin10001101010111111…
…001000111011000000
31210222101110000001100
4101222333020323000
5302330022240241
612414503534400
71241133121140
oct215277107300
953871400040
1018974805696
118057868400
12381675a400
131a35188ca2
14cc009a920
15760c5e9b6
hex46afc8ec0

18974805696 has 1008 divisors, whose sum is σ = 75887884800. Its totient is φ = 4415938560.

The previous prime is 18974805683. The next prime is 18974805739. The reversal of 18974805696 is 69650847981.

18974805696 is a `hidden beast` number, since 1 + 8 + 97 + 480 + 5 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 213200020 + ... + 213200108.

It is an arithmetic number, because the mean of its divisors is an integer number (75285600).

Almost surely, 218974805696 is an apocalyptic number.

18974805696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18974805696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37943942400).

18974805696 is an abundant number, since it is smaller than the sum of its proper divisors (56913079104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18974805696 is a wasteful number, since it uses less digits than its factorization.

18974805696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 18974805696 in words is "eighteen billion, nine hundred seventy-four million, eight hundred five thousand, six hundred ninety-six".